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Influence of the Casimir-Polder force on a slowly moving atom near a left-handed slab is discussed. We focus on an initially excited atom and its dynamic evolution during the spontaneous decay process. The left-haned slab is adopted based on two factors: (1) It provides a relatively stronger Casimir-Polder force on the excited atom far away from the interface, and (2) it can lead to an inhibited spontaneous decay rate within such a region. Therefore, we can discuss the dynamic evolution of atoms acted only by the Casimir-Polder force. The dynamic evolution discussed here includes both the evolution of atomic population and the atomic displacement. As the Casimir-Polder force depends on the atomic population, while the decay rate is related to the atomic positions, the atomic dynamic evolution is determined by its initial conditions, i.e. its position and volecity. We choose two initial positions for discussion, i.e. (1) the position with the maximum resonant Casimir-Polder force, and (2) the edge of the resonant Casimir-Polder force of the atom with dipole parallel to the interface. Furthermore, we also consider two kinds of orientations of atomic dipole, i. e. parallel and normal to the interface. It is found that the atom can be repulsed away from a surface by the Casimir-Polder force with a proper initial velocity in certain dipole orientaion during the sponatneous decay process. As the atomic dynamics depends on the orientation of the atom dipole momentum, our result can be used as a reference to distinguish atoms with different dipole momenta. Though the force discussed here exists during the spontaneous decay process, it is much different from the recoil force of the atom when it emits a photon during the spontaneous decay. The statistical average of the recoil force is null, but that of the resonant Casimir-Polder force is not. After reasonable estimation, such a Casimir-Polder force can counteract the thermal fluctuation of temperature of 15 μupK during sponatneous decay. If combined with other constraint methods, it is helpful to control the dynamics of an atom more efficiently.
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Keywords:
- left-handed materials /
- Casimir-Polder force /
- spontaneous emission
[1] Casimir H B G, Polder D 1948 Phys. Rev. 73 360
[2] Derjaguin B V, Abrikosova I I 1957 Sov Phys. JETP 3 819
[3] Perreault J D, Cronin A D 2005 Phys. Rev. Lett 95 133201
[4] Oberst H, Morinaga M, Shimizu F, Shimizu K 2003 Appl. Phys. B 76 801
[5] Berman P R, Ford G W, Milonni P W 2014 J. Chem. Phys. 16 164105
[6] Zhou W T, Yu H W 2014 Phys. Rev. A 90 032501
[7] Biehs S A, Agarwal G S 2014 Phys. Rev. A 90 042510
[8] Laliotis A, de Silans T P, Maurin, I, Ducloy M, Bloch D 2014 Nat. Commun. 5 4364
[9] Buhmann S Y, Welsch D G 2007 Progress in Quantum Electronics 31 51
[10] Veselago V G 1968 Soviet Physics Usp. 10 509
[11] Zeng R, Xun J P, Yang Y P, Liu S T 2007 Acta Phys. Sin. 56 3290 (in Chinese) [曾然, 许静平, 羊亚平, 刘树田 2007 物理学报 56 3290]
[12] Yaping Yang, Ran Zeng, Hong Chen, Shiyao Zhu, MSuhail Zubairy, 2010 Phys. Rev. A 81 022114
[13] Xu J P 2011 Chin. Sci. Bull. 56 985 (in Chinese) [许静平, 羊亚平, 陈鸿 2011 科学通报 56 985]
[14] Zeng R, Yang Y P, Zhu S Y 2013 Phys. Rev. A 87 063823
[15] Xu J P, Alamri M, Yang Y P, Zhu S Y, Zubairy M S 2014 Phys. Rev. A 89 053831
[16] Al-Amri M, Babiker M 2008 Eur. Phys. J. D 48 417
[17] Aspect A, Arimondo E, Kaiser R, Vansteenkiste N, Cohen-Tannoudji C 1988 Phys. Rev. Lett 61 826
[18] Kovachy T, Hogan J M, Sugarbaker A, Dickerson S M, Donnelly C A, Overstreet C, Kasevich M A 2015 Phys. Rev. Lett 114 143004
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[1] Casimir H B G, Polder D 1948 Phys. Rev. 73 360
[2] Derjaguin B V, Abrikosova I I 1957 Sov Phys. JETP 3 819
[3] Perreault J D, Cronin A D 2005 Phys. Rev. Lett 95 133201
[4] Oberst H, Morinaga M, Shimizu F, Shimizu K 2003 Appl. Phys. B 76 801
[5] Berman P R, Ford G W, Milonni P W 2014 J. Chem. Phys. 16 164105
[6] Zhou W T, Yu H W 2014 Phys. Rev. A 90 032501
[7] Biehs S A, Agarwal G S 2014 Phys. Rev. A 90 042510
[8] Laliotis A, de Silans T P, Maurin, I, Ducloy M, Bloch D 2014 Nat. Commun. 5 4364
[9] Buhmann S Y, Welsch D G 2007 Progress in Quantum Electronics 31 51
[10] Veselago V G 1968 Soviet Physics Usp. 10 509
[11] Zeng R, Xun J P, Yang Y P, Liu S T 2007 Acta Phys. Sin. 56 3290 (in Chinese) [曾然, 许静平, 羊亚平, 刘树田 2007 物理学报 56 3290]
[12] Yaping Yang, Ran Zeng, Hong Chen, Shiyao Zhu, MSuhail Zubairy, 2010 Phys. Rev. A 81 022114
[13] Xu J P 2011 Chin. Sci. Bull. 56 985 (in Chinese) [许静平, 羊亚平, 陈鸿 2011 科学通报 56 985]
[14] Zeng R, Yang Y P, Zhu S Y 2013 Phys. Rev. A 87 063823
[15] Xu J P, Alamri M, Yang Y P, Zhu S Y, Zubairy M S 2014 Phys. Rev. A 89 053831
[16] Al-Amri M, Babiker M 2008 Eur. Phys. J. D 48 417
[17] Aspect A, Arimondo E, Kaiser R, Vansteenkiste N, Cohen-Tannoudji C 1988 Phys. Rev. Lett 61 826
[18] Kovachy T, Hogan J M, Sugarbaker A, Dickerson S M, Donnelly C A, Overstreet C, Kasevich M A 2015 Phys. Rev. Lett 114 143004
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